42 citations · 208 across the 24 of their papers we have counts for
25 papers
Why a System of Three Bosons on Separate Lines Can Not Exhibit the Confinement Induced Efimov Effect
Dirk Hundertmark, Marvin R. Schulz, Semjon Vugalter
We study a system of three bosons interacting with short-range potentials which can move along three different lines. Two of these lines are parallel to each other within one plane…
Bound States in Bent Soft Waveguides
Pavel Exner, Semjon Vugalter
The aim of this paper is to show that a two-dimensional Schrödinger operator with the potential in the form of a `ditch' of a fixed profile can have a geometrically induced discret…
The absence of the Efimov effect in systems of one- and two-dimensional particles
Simon Barth, Andreas Bitter, Semjon Vugalter
We study virtual levels of -particle Schrödinger operators and prove that if the particles are one-dimensional and , then virtual levels at the bottom of the essential s…
On the asymptotic dynamics of 2-D magnetic quantum systems
Esteban Cárdenas, Dirk Hundertmark, Edgardo Stockmeyer +1
In this work we provide results on the long time localisation in space (dynamical localisation) of certain two-dimensional magnetic quantum systems. The underlying Hamiltonian may…
Decay properties of zero-energy resonances of multi-particle Schrödinger operators and why the Efimov effect does not exist for systems of particles
Simon Barth, Andreas Bitter, Semjon Vugalter
We consider -body Schrödinger operators with a virtual level at the threshold of the essential spectrum. We show that in the case of particles in dimension vi…
Van der Waals-London interaction of atoms with pseudo-relativistic kinetic energy
Jean-Marie Barbaroux, Michael Hartig, Dirk Hundertmark +1
We consider a multiatomic system where the nuclei are assumed to be point charges at fixed positions. Particles interact via Coulomb potential and electrons have pseudo-relativisti…